Which of the following physical quantities has the same dimensions as that of Planck's constant?

Step-by-step solution

Planck's constant ( h ) can be determined from the energy of a photon, E = h . Dimensions of energy E = [M L^2 T⁻²] Dimensions of frequency = [T⁻¹] Therefore, dimensions of h = [M L^2 T⁻²] [T⁻¹] = [M L^2 T⁻¹] Now, checking the given options: Torque = Force perpendicular distance [M L T⁻²] [L] = [M L^2 T⁻²] Angular momentum = mvr [M] [L T⁻¹] [L] = [M L^2 T⁻¹] Linear momentum = mv [M] [L T⁻¹] = [M L T⁻¹] Power = Work Time [M L^2 T⁻²] [T] = [M L^2 T⁻³] Thus, angular momentum has the same dimensions as Planck's constan